Sprays and Dirac Structures
Differential Geometry
2020-08-18 v1
Abstract
We look at the the possibility of a spray having a Hamiltonian description considering Dirac structure as underlying geometric structure. In a simpler scenario, we consider almost Dirac structure as an auxiliary object to find constants of motion for sprays. Staring with the horizontal distribution associated to a spray, we use gauge transformations generated by two forms in order to obtain constants of motion and possible Hamiltonian description. We also apply our approach to semi-spray with some modifications.
Cite
@article{arxiv.2008.06906,
title = {Sprays and Dirac Structures},
author = {Esmaeil Azizpour and Ghazaleh Moazzami},
journal= {arXiv preprint arXiv:2008.06906},
year = {2020}
}
Comments
17 pages, no figure